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Comments on the scalar propagator in AdS × S and the BMN plane wave
Author(s) -
Dorn H.,
Salizzoni M.,
Sieg C.
Publication year - 2004
Publication title -
fortschritte der physik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.469
H-Index - 71
eISSN - 1521-3978
pISSN - 0015-8208
DOI - 10.1002/prop.200410164
Subject(s) - propagator , scalar (mathematics) , physics , chordal graph , plane wave , plane (geometry) , mathematical physics , invariant (physics) , complex plane , mathematics , mathematical analysis , quantum electrodynamics , geometry , quantum mechanics , combinatorics , graph
We discuss the scalar propagator on generic ADS d +1 × S d ′+1 backgrounds. For the conformally flat situations and masses corresponding to Weyl invariant actions the propagator is powerlike in the sum of the chordal distances with respect to AdS d +1 and S d ′+1 . In all other cases the propagator depends on both chordal distances separately. We discuss the KK mode summation to construct the propagator in brief. For AdS 5 × S 5 we relate our propagator to the expression in the BMN plane wave limit and find a geometric interpretation of the variables occurring in the known explicit construction on the plane wave.